[777ER]

You'd have to go thru air cargo but there's limitations due to it being a hazmat (ie fuel in your tank has to be 1/4th tank or less) and the battery disconnected once you drive it onto a 'cookie' pallet.

The car is then strapped down and you must leave the keys with the car. A forklift picks up the pallet with the car on it and puts it on a loader which will go to the aircraft, then rises to the cargo bay level and slides it into place. Once in the aircraft it's latched down to the floor in the belly.

At a minimum you'd need a 767 in the domestic network such as AA and DL does.
Once in a while Delta will use a 777 domestic route but they always stop over at one domestic airport before going long haul internationally.

I've seen a C5 corvette put in a 767 before.